Category Archives: Differential Geometry

The Gauss Map

Posting is slowing down a bit, I’ve got a paper I’m trying to get out, and a couple of projects that are hitting some preliminary results, plus, I’m getting ready for holiday travel, and then two months at Humboldt.  Trying … Continue reading

Posted in AG From the Beginning, Algebraic Geometry, Complex Analysis, Differential Geometry | 2 Comments

The Hilbert Polynomial Explained

So, today I discovered something rather nice, that I think could easily get more time in books and the like, but doesn’t. We’ll first have need of a theorem that I don’t want to prove: Theorem: Let be a projective … Continue reading

Posted in Algebraic Geometry, Algebraic Topology, Cohomology, Differential Geometry, Intersection Theory | 5 Comments

Integrable Systems

As part of my project to not let orals actually degrade my sanity beyond recovery, today we’re going to do some physics! Well, kind of. We’ll be citing a lot of physics, at the least, and using it to motivate … Continue reading

Posted in Abelian Varieties, Algebraic Geometry, Curves, Differential Geometry, Mathematical Physics | 2 Comments

Ricci Flow on Surfaces of High Genus

I’ve been a bit busy lately, and so I missed last week posting. So what I’ve decided to do is to take the talks I’ve given in various graduate student seminars over the last year or so and convert them … Continue reading

Posted in Differential Geometry | Leave a comment

Parallel Parking

Today I’m going to talk about parallel parking. We’ve all had to do it at some point (at least, those who drive) and certainly we’ve all noticed how much of a pain it is to get into a small space. … Continue reading

Posted in Differential Geometry, Recreational Mathematics | 30 Comments